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Alex Ar [27]
3 years ago
11

Many U.S employees received a 3% raise in 2012. Suppose an employee made $47,000 in 2011 and received a 3% raise. What did she m

ake in 2012? Show 2 different ways to answer the question.
Mathematics
1 answer:
Hoochie [10]3 years ago
7 0
First lets get 3% into decimal form. 

3% is 3/100  = 0.03

Now multiply 0.03 by 47000 to get how much extra money she was going to get. 

47000 * 0.03 = 1410

Now we just add
47000 + 1410 = 48410 is what she was going to make in 2012

Another way to do this is 

(47000)(1+0.03) = 48410

you would use (1+0.03) which tells you she increased in pay. 

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3 years ago
What is the area of a shape with points a 5 -8 b 11, -8 c 11,0 d 6,-3 e 4,-3
Dmitriy789 [7]

Answer:

Area of the given figure is 51.5 square units.

Step-by-step explanation:

Area of rectangle OCBH = Length × width

                                         = 11 × 8

                                         = 88 square units

Area of trapezoid OGEF = \frac{1}{2}(b_1+b_2)\times h

                                         = \frac{1}{2}(\text{GE+OF)}\times (\text{OG})

                                         = \frac{1}{2}(3+6)\times 4

                                         = 18 units²

Area of trapezoid GCDE = \frac{1}{2}(\text{GC+DE)}\times (\text{GE})

                                         = \frac{1}{2}(7+2)\times 3

                                         = 13.5 units²

Area of triangle AFH = \frac{1}{2}(\text{Base})\times (\text{Height})

                                  = \frac{1}{2}(5)(2)

                                  = 5 units²

Area of polygon ABCDEF = Area of rectangle CBHO - (Area of trapezoid OGEF + Area of trapezoid GCDE + Area of triangle AFH)

                                           = 88 - (18 + 13.5 + 5)

                                           = 88 - 36.5

                                           = 51.5 units²

Therefore, area of the given polygon is 51.5 units²

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3 years ago
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Pani-rosa [81]

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Step-by-step explanation:

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3 years ago
Write the equation of the line shown in point slope form (1,2) (3,6)
Kipish [7]

The point-slope form:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (1, 2) and (3, 6). Substitute:

m=\dfrac{6-2}{3-1}=\dfrac{4}{2}=2\\\\\boxed{y-2=2(x-1)}

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Answer:

57 inches

Step-by-step explanation:

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Use the pythagorean theorem, a² + b² = c², and solve for c, the hypotenuse/diagonal of the TV.

a² + b² = c²

30² + 48² = c²

900 + 2304 = c²

3204 = c²

56.6 = c

Round this to the nearest inch:

56.6

= 57

So, the diagonal of the TV screen is 57 inches

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